Daily Practice

Higher Plus

17th April 1981

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 4x + 4. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the midpoint. Write vector OX in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 28 wins. How many games did they play?

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